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1123403100414 = 23734397130873
BaseRepresentation
bin10000010110010000000…
…010101111000011111110
310222101200220010110010120
4100112100002233003332
5121401212143203124
62220030111115410
7144106655541000
oct20262002570376
93871626113116
101123403100414
113a34838437a1
12161881512b66
1381c23522c9a
143c531726370
151e350387d79
hex105900af0fe

1123403100414 has 128 divisors (see below), whose sum is σ = 2708777702400. Its totient is φ = 310273431552.

The previous prime is 1123403100377. The next prime is 1123403100427. The reversal of 1123403100414 is 4140013043211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8518482 + ... + 8649354.

It is an arithmetic number, because the mean of its divisors is an integer number (21162325800).

Almost surely, 21123403100414 is an apocalyptic number.

1123403100414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1123403100414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354388851200).

1123403100414 is an abundant number, since it is smaller than the sum of its proper divisors (1585374601986).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1123403100414 is a wasteful number, since it uses less digits than its factorization.

1123403100414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131039 (or 131025 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1123403100414 its reverse (4140013043211), we get a palindrome (5263416143625).

The spelling of 1123403100414 in words is "one trillion, one hundred twenty-three billion, four hundred three million, one hundred thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 43 49 86 97 98 129 147 194 258 291 294 301 343 582 602 679 686 903 1029 1358 1806 2037 2058 2107 4074 4171 4214 4753 6321 8342 9506 12513 12642 14259 14749 25026 28518 29197 29498 33271 44247 58394 66542 87591 88494 99813 130873 175182 199626 204379 261746 392619 408758 613137 785238 916111 1226274 1430653 1832222 2748333 2861306 4291959 5496666 5627539 6412777 8583918 11255078 12694681 12825554 16882617 19238331 25389362 33765234 38084043 38476662 39392773 44889439 76168086 78785546 88862767 89778878 118178319 134668317 177725534 236356638 266588301 269336634 275749411 533176602 545871283 551498822 622039369 827248233 1091742566 1244078738 1637613849 1654496466 1866118107 1930245877 3275227698 3732236214 3821098981 3860491754 4354275583 5790737631 7642197962 8708551166 11463296943 11581475262 13062826749 22926593886 26125653498 26747692867 53495385734 80243078601 160486157202 187233850069 374467700138 561701550207 1123403100414